Your SRAT puzzle is the greatest. Definitely my all-time favorite.
Since I see you posted a few solutions I give my route to the
answer. Thanks for making this!!
Brian Doyle
brian@balance-software.com
1a no: if 1a then 1b (a contradiction)
1b no: if 1b then 2 has the first b (a contradiction)
2b no: by 1b
by 1, min B is 1
by 3, min E is 0, max E is 4
by 4, min A is 4, max A is 8
3 has a single solution
4 has a single solution
5e, yes: self-referential question
3a no: by 5e
min E is 1: by 3a
6a, no: because if yes, 17c would be A
6c, no: because if yes, 17e would be C
6e, no: because 6a & 6c are no, plus contradiction by 6d
6 has single solution by 6b and 6d
17a, no: because if yes, 6c would be A
17c, no: because if yes, 6e would be C
17e, no: because 17a & 17c are no, plus contradiction by 17d
17 has single solution by 17b and 17d
7e no: by 2b
8a no: min A + min E
by 8, min vowels is 5, max vowels is 8
10a: yes: by 16d
10b,c,d,e no: by 10a (answers must be unique)
16d: yes: by 10a
16a,b,c,e no: by 16d
11a no: by 1, min B
1a no:
3a no:
5a no:
7a no:
19a no: by 13
13a no: if 13a, then 9a (2 odd answers, contradicts 13)
13b no: by 11a
13c no: if 13c then 13a
13e no: by 17a
13d yes: single solution
by 14, min D is 6, max D is 10
12c no: 15 implies 12 has single solution, if 12c then ( 12a or
12b )
12d no: 15 implies 12 has single solution, if 12d then 12b
12e no: 15 implies 12 has single solution, if 12e then 12b
15c no: by 12c
15d no: by 12d
15e no: by 12e
2e no: 10a is not equal to 11a
5b no: 2e is not equal to 5e
1e no: by 5b
17d no: by 2, 16d, single solution
17b yes: only choice
by 17b, min B is 2
16d yes: 17b
16b no: 16d, single solution
by 1c, 1d, 2, and single solutions, either 3 is only B or 4 is only B but not bo
th
4e no: if 3 is B, then 4 is A, C, or D (by max vowels). otherw
ise 4 is B.
3e no: if 4 is B, then 3 is either C or D (by max vowels)
5c no: 3e is not equal to 5e
5d no: 4e is not equal to 5e
11e no: at most only 3 B's in rows 1-10
18d no: min A is greater than max E
9b no: if 9b then at least two B's in 1-10, contradicting 11b
9c no: if 9c then 12c == yes
11d no: at most 2 B's in 1-10
14e no: only 9 possible D's:
1-4 have single solutions, so by 2 only 2 possib
le (2)
1 at 6
(3)
7-9 have single solutions, so by 2 only 2 possib
le (5)
13-4 have single solutions, so by 2 only 1 possi
ble (6)
1 at 16
(7)
1 possible at 19
(8)
1 possible at 20
(9)
by 14e, max D is 9
9e no: 14e
4d no: let there be 7 A's (1 odd, 6 even). Then 4a is a contra
diction.
4c no: let there be 6 A's (1 odd, 5 even) which gives 4c. Then
we have
2a which gives 7d, thus 8 must be c or e. since
4 is c by 1 we
have 3b, therefore we have 7 vowels, which contr
adicts both 8c
and 8e.
18c no: max A is 5
14d no: by 13d, 2, single solution
15a yes: 13d
15b no: 15a, single solution
12a yes: 15a
12b no: 12a
9a no: 13, 15a
9d yes: single solution, 13d
2d no: 9a, 10a
4a no: if 4a (4 A's), then 3b and 8b. if 8b then 2a (5 A's), a
contradiction.
4b yes: single solution
3b no: 4b, 2, single solution
1d yes: 4b
1c no: single solution
by 3b, min E is 2, max E is 3. min vowels is 7, max vowels is 8
8b no: min vowels is 7
8c no: min vowels is 7
2c no: if 2c, then 8d giving 3c which contradicts 2
2a yes: single solution
7d yes: 2
7b no:
7c no: 2, 6
8c no: 2, 7d, 9d
8d yes: 8, single solution
3c no: 8d, 4b
3d yes: 8d, 4b
11b yes: 1-10b
11c no: 11b, single solution
14a no: 1-18d
18b no: max 3 C's
// At this point, an answer to 20 needs to be given to settle 14 and 18. The
// choice E is the most appropriate from a subjective point of view (and leads
// ultimately to the "correct" solution), but it is possible to pick another
// choice for 20 (that in a sense is no less correct) and bring the puzzle to
// a state where all 20 answers are consistent even though the right "solution"
// (i.e. the one the author had in mind) isn't achieved. The author states
// as much in the problem description.
20e yes: Standardized test has nothing to do with intelligence, n
or
do temperature, wind-velocity, latitude, and lon
gitude have
(equally) anything to do with barometer. The ra
tionale for
another choice in 20 is "if barometer has nothin
g to do with
all of them, then it might as well have nothing
to do with
any of them", so any answer is potentially corre
ct. Another
observation might be that "standardized test" re
lates to
"intelligence" in that both phrases have the sam
e number of
letters when the four letter word is removed. S
ince "barometer"
and "longitude (only)" have the same number of l
etters when
the four letter word is removed we might also co
nclude that
D is the best choice. Anyhow, picking 20e leads
to the
obvious "author's choice" solution:
20a no:
20b no:
20c no:
20d no: single solution for 20
18a yes: 4b
18e no: single solution, 18a
14b yes: 18a
14c no: 14b, single solution
19b yes: 14b
19c no:
19d no: single solution, 14b
now the letters in order spell out "dad bedded a bad bad babe"
this is a reference to the movie "Fatal Attraction"